Even though the integer quantum Hall transition has been investigated for nearly four decades its critical behavior remains a puzzle. The best theoretical and experimental results for the localization length exponent ν differ significantly from each other, casting doubt on our fundamental understanding. While this discrepancy is often attributed to long-range Coulomb interactions, Gruzberg et al. [Phys. Rev. B 95, 125414 (2017)10.1103/PhysRevB.95.125414] recently suggested that the semiclassical Chalker-Coddington model, widely employed in numerical simulations, is incomplete, questioning the established central theoretical results. To shed light on the controversy, we perform a high-accuracy study of the integer quantum Hall transition for a microscopic model of disordered electrons. We find a localization length exponent ν=2.58(3) validating the result of the Chalker-Coddington network.



Research Center/Lab(s)

Center for High Performance Computing Research

Keywords and Phrases

Critical behavior; High-accuracy; Localization length; Long-range Coulomb interaction; Microscopic modeling; Quantum hall; Tight binding

International Standard Serial Number (ISSN)

2469-9950; 2469-9969

Document Type

Article - Journal

Document Version

Final Version

File Type





© 2019 American Physical Society (APS), All rights reserved.

Publication Date

01 Mar 2019

Included in

Physics Commons